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Approximate Symmetry Reduction to the Perturbed One-Dimensional Nonlinear Schrödinger Equation |
JIA Man1, WANG Jian-Yong2, LOU Sen-Yue 1,2,3 |
1Department of Physics, Shanghai Jiao Tong University, Shanghai 2002402Science Faculty of Ningbo University, Ningbo 3152113School of Mathematical Science, Fudan University, Shanghai 200433 |
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Cite this article: |
JIA Man, WANG Jian-Yong, LOU Sen-Yue 2009 Chin. Phys. Lett. 26 020201 |
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Abstract The one-dimensional nonlinear Schrödinger equation with a perturbation of polynomial type is considered. Using the approximate symmetry perturbation theory, the approximate symmetries and approximate symmetry reduction equations are obtained.
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Keywords:
02.03.Ik
02.30.Jr
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Received: 19 September 2008
Published: 20 January 2009
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[1] Ablowitz M, Clarkson P 1991 Solitons, NonlinearEvolution Equations and Inverse Scattering (Cambridge: CambridgeUniversity Press) [2] Fushchich W I and Shtelen W M 1989 J. Phys. A: Math.Gen. 22 L887 [3] Abdullaev F Kh, Bronski J C and Papanicolaou G 2000 Physica D 135 369 [4] Euler N, Shulga M W and Steeb W H 1992 J. Phys. A:Math. Gen. 25 1095 [5] Euler M, Euler N and K\"oler A 1994 J. Phys. A: Math.Gen. 27 2083 [6] Euler N and Euler M 1994 Nonlinear Math. Phys. 1 41 [7] Fushchich W I and Shtelen W H 1989 J. Phys. A: Math.Gen. 22 887 [8] Jiao X Y, Yao R X and Lou S Y 2008 J. Math. Phys. 49 093505 |
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